Interest centers around the nature of an oven purchased at a particular department store. It can be either a gas or an electric oven. Consider the decisions made by six distinct customers. (i) Suppose that the probability is 0.50 that at most two of these individuals purchase an electric oven. What is the probability that at least three purchase the electric oven? (ii) Suppose it is known that the probability that all six purchase the electric oven is 0.006 while 0.104 is the probability that all six purchase the gas oven. What is the probability that at least one of each type is purchased? (b) In many industrial zones to use a filling machine to fill boxes full of product. This occurs in the food industry as well as other areas in which the product is used in the home, for example, detergent. These machines are not perfect, and indeed they may A, fill to specification, B, underfill, and C, overfill. Generally, the practice of underfilling is that which one hopes to avoid. Let P(B) = 0.004 while P(A) = 0.890. (i) Give P(C). (ii) What is the probability that the machine does not underfill? (iii) What is the probability that the machine either overfills or underfills?
Interest centers around the nature of an oven purchased at a particular department store. It can be either a gas or an electric oven. Consider the decisions made by six distinct customers.
(i) Suppose that the
is the probability that at least three purchase the electric oven?
(ii) Suppose it is known that the probability that all six purchase the electric oven is 0.006 while 0.104 is the
probability that all six purchase the gas oven. What is the probability that at least one of each type is purchased?
(b) In many industrial zones to use a filling machine to fill boxes full of product. This occurs in the food industry as well as other areas in which the product is used in the home, for example, detergent. These machines are not perfect, and indeed they may A, fill to specification, B, underfill, and C, overfill. Generally, the practice of underfilling is that which one hopes to avoid. Let P(B) = 0.004 while P(A) = 0.890.
(i) Give P(C).
(ii) What is the probability that the machine does not underfill?
(iii) What is the probability that the machine either overfills or underfills?
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